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Beliebt Rechnen >

integral of x^2ln(8x)

Lösung

\int x^{2} ln (8 x) d x

Lösung

\frac{1}{3} x^{3} ln (8 x) - \frac{x ^{3}}{9} + C

Schritte zur Lösung

\int x^{2} ln (8 x) d x

Wende die partielle Integration an

= \frac{1}{3} x^{3} ln (8 x) - \int \frac{x ^{2}}{3} d x

\int \frac{x ^{2}}{3} d x = \frac{x ^{3}}{9}

= \frac{1}{3} x^{3} ln (8 x) - \frac{x ^{3}}{9}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{3} x^{3} ln (8 x) - \frac{x ^{3}}{9} + C

Graph

Beliebte Beispiele

derivative of 6-2x

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\int (cos (x))^{3} d x